Least Common Multiple of 6285 and 6293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6285 and 6293 the smallest integer that is 39551505 that is divisible by both numbers.

Least Common Multiple (LCM) of 6285 and 6293 is 39551505.

LCM(6285,6293) = 39551505

LCM of 6285 and 6293

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6285 and 6293

LCM of 6285 and 6293 is 39551505

Least common multiple can be found by multiplying the highest exponent prime factors of 6285 and 6293. First we will calculate the prime factors of 6285 and 6293.

Prime Factorization of 6285


3 6285
5 2095
419 419
1

Prime factors of 6285 are 3, 5,419. Prime factorization of 6285 in exponential form is:

6285 = 31×51×4191

Prime Factorization of 6293


7 6293
29 899
31 31
1

Prime factors of 6293 are 7, 29,31. Prime factorization of 6293 in exponential form is:

6293 = 71×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6285 and 6293.

LCM(6285,6293) = 31×51×71×291×311×4191
LCM(6285,6293) = 39551505

Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1, 3, 5, 15, 419, 1257, 2095, 6285

Factors of 6293

List of positive integer factors of 6293 that divides 6293 without a remainder.

1, 7, 29, 31, 203, 217, 899, 6293

Least Common Multiple of 6285 and 6293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6285 and 6293, than apply into the LCM equation.

GCF(6285,6293) = 1
LCM(6285,6293) = ( 6285 × 6293) / 1
LCM(6285,6293) = 39551505 / 1
LCM(6285,6293) = 39551505

Properties of LCM 6285 and 6293

(i) The LCM of 6293 and 6285 is associative

LCM of 6285 and 6293 = LCM of 6293 and 6285

Related Least Common Multiples of 6285

Related Least Common Multiples of 6293

Frequently Asked Questions on LCM of 6285 and 6293

1. What is the LCM of 6285 and 6293?

Answer: LCM of 6285 and 6293 is 39551505.

2. What are the Factors of 6285?

Answer: Factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285. There are 8 integers that are factors of 6285. The greatest factor of 6285 is 6285.

3. What are the Factors of 6293?

Answer: Factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293. There are 8 integers that are factors of 6293. The greatest factor of 6293 is 6293.

4. How to Find the LCM of 6285 and 6293?

Answer:

Least Common Multiple of 6285 and 6293 = 39551505

Step 1: Find the prime factorization of 6285

6285 = 3 x 5 x 419

Step 2: Find the prime factorization of 6293

6293 = 7 x 29 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 39551505 = 3 x 5 x 7 x 29 x 31 x 419

Step 4: Therefore, the least common multiple of 6285 and 6293 is 39551505.